Using the Fibonacci sequence would keep the number of grains within any one field at minimum.

Whenever the observer's learning process ( which may be a predictive neural network-see also Neuroesthetics ) leads to improved data compression such that the observation sequence can be described by fewer bits than before, the temporary interestingness of the data corresponds to the number of saved bits.

Historical convention dedicates a register to " the accumulator ", an " arithmetic organ " that literally accumulates its number during a sequence of arithmetic operations:

A related concept is that of a perfect number, which is a number which equals the sum of its own proper divisors, in other words a number which forms an aliquot sequence of period 1.

A telephone number in Belgium is a sequence of nine or ten numbers dialled on a telephone to make a call on the telephone network in Belgium.

There are a number of biophysical techniques for determining sequence information.

In 1961, Lorenz was using a numerical computer model to rerun a weather prediction, when, as a shortcut on a number in the sequence, he entered the decimal. 506 instead of entering the full. 506127.

In mathematics, the Bernoulli numbers B < sub > n </ sub > are a sequence of rational numbers with deep connections to number theory.

The first step, fetch, involves retrieving an instruction ( which is represented by a number or sequence of numbers ) from program memory.

After the walk-through, the music begins and the dancers repeat that sequence some number of times before that dance ends, often 10 to 15 minutes, depending on the length of the contra lines.

It is also crucial that the interval be bounded, since in the interval one could choose the sequence of points, of which no sub-sequence ultimately gets arbitrarily close to any given real number.

* Consider the set of all functions from the real number line to the closed unit interval, and define a topology on so that a sequence in converges towards if and only if converges towards for all.

More precisely, given any small positive distance, all but a finite number of elements of the sequence are less than that given distance from each other.

The customary acceptance of the fact that any real number x has a decimal expansion is an implicit acknowledgment that a particular Cauchy sequence of rational numbers ( whose terms are the successive truncations of the decimal expansion of x ) has the real limit x.

Under the assumption of the axiom of choice, this transfinite sequence includes every cardinal number.

In this manner, an irrational number can give an infinite sequence of notes where each note is a digit in the decimal expression of that number.

This is a Cauchy sequence of rational numbers, but it does not converge towards any rational limit: If the sequence did have a limit x, then necessarily x < sup > 2 </ sup > = 2, yet no rational number has this property.

However, considered as a sequence of real numbers, it does converge to the irrational number.

The field of definable numbers is not complete ; there exist convergent sequences of definable numbers whose limit is not definable ( since every real number is the limit of a sequence of rational numbers ).

However, if the sequence itself is definable in the sense that we can specify a single formula for all its terms, then its limit will necessarily be a definable number.

Suppose that in a mathematical language L, it is possible to enumerate all of the defined numbers in L. Let this enumeration be defined by the function G: W → R, where G ( n ) is the real number described by the nth description in the sequence.

These data are not of the precision obtainable by the methods previously mentioned, but the vast number of approximate values available will be useful in many areas.

As mentioned, the allocation of AM stations represents a balance between protection against interference and the provision of opportunity for an adequate number of stations.

This treatise is not mentioned in surviving Greek sources, but it enjoyed great popularity in the Muslim world, and a large number of copies have survived.

The most notable example of ideological coercion was the already mentioned Chinese “ Thought Reform ” campaign of 1951-52, which was unique due to both thoroughness and number of people involved.

Other than the previously mentioned use as a biological control for pests, the cane toad has been employed in a number of commercial and noncommercial applications.

* Field 4: Personenkennziffer ( service number: birth date in DDMMYY format, dash, capitalized first letter of last name, dash, and five-digit number based on soldier's home military administrative district, number of persons with the mentioned last name and same birthday, and an error-checking number but without dashes ), ex.

" In that interview he also mentioned a course he has twice given at Indiana University, in which he took a " skeptical look at a number of highly-touted AI projects and overall approaches.

Before D. W. Griffith started directing at Biograph in May 1908, he had seen the two Pathé films just mentioned, and a number of Vitagraph films as well.

This is an immediate consequence of the completeness theorem, because only a finite number of axioms from Γ can be mentioned in a formal deduction of φ, and the soundness of the deduction system then implies φ is a logical consequence of this finite set.

The Great Auk is mentioned in a number of novels and the scientific journal of the American Ornithologists ' Union is named The Auk in honour of this bird.

In addition to the classifications mentioned above, there are a number of galaxies that can not be readily classified into an elliptical or spiral morphology.

Japanese hardcore, particularly GISM, is also mentioned by a number of originators of the style.

* Alien 3 ( designed the dog-like Alien bodyshape, plus a number of unused concepts, many mentioned on the special features disc of Alien 3 )

The right of access to higher education is mentioned in a number of international human rights instruments.

One of the reasons the works of Josephus were copied and maintained by Christians was that his writings provided a good deal of information about a number of figures mentioned in the New Testamant, and the background to events such as the death of James during a gap in Roman governing authority.

For example, in United States federal courts, the United States district courts have original jurisdiction over a number of different matters ( as mentioned above ), and the United States court of appeals have appellate jurisdiction over matters appealed from the district courts.

* Mark of the Beast, a sign or number mentioned in the Book of Revelation

As mentioned above, in almost all competitive one-day games, a restriction is placed on the number of overs that may be bowled by any one bowler.

" Gramma ", a short story made into a film in the 1980s anthology horror show The New Twilight Zone, mentions Lovecraft's notorious fictional creation Necronomicon, also borrowing the names of a number of the fictional monsters mentioned therein.

The Romulans have been the focus of a number of books, and have appeared or been mentioned in many others.

The number three is never mentioned in relation to God in scripture, which of course is the number that is central to the word " Trinity ".